I need help with one and two

1) Angle T = 72°

Angle U = 54°

2) Angle M = 76°

Angle N = 76°

Explanation:

1. Isosceles triangle (since 2 sides are equal)

Angle U = Angle S = 54° (equal sides of a traingle have equal angles)

angle U + angle S + angle T =180 (Angle sum Property)

54° + 54° + angle T = 180°

108 + angle T = 180°

Angle T = 180 - 108

= 72°

2. Isosceles triangle again (same properties)

angle L + angle M + angle N = 180

28 + angle M + angle N = 180

angle M + angle N = 180 - 28

angle M + angle N = 152

"angle M and N will be equal since it is

isosceles triangle"

so, 2x (M&N) = 152

x = 152 ÷ 2

= 76

therefore angle M = angle N = 76°

typically if you want , you would actually put questions here for us to you. but hey, that's just me. maybe someone will magically answer the questions for you without knowing what they are.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.